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1. • CommentRowNumber1.
   • CommentAuthormikestay
   • CommentTimeJul 13th 2017
   • PermaLink
   Author: mikestay
   Format: MarkdownItexThe article says, "if [commuting square involving $A,B,C,D,e,j,u,v$] is a commutative diagram with $e$ bijective on objects and $s$ essentially surjective, then there is a unique functor $h \colon B\to C$ such that $h e = u$ and $j h = v$." The symbol $s$ is never used in the diagram; should it be "$j$ fully faithful" instead of "$s$ essentially surjective"?

   The article says, “if [commuting square involving $A,B,C,D,e,j,u,v$] is a commutative diagram with $e$ bijective on objects and $s$ essentially surjective, then there is a unique functor $h \colon B\to C$ such that $h e = u$ and $j h = v$.” The symbol $s$ is never used in the diagram; should it be “$j$ fully faithful” instead of “$s$ essentially surjective”?

2. • CommentRowNumber2.
   • CommentAuthormikestay
   • CommentTimeJul 13th 2017
   • PermaLink
   Author: mikestay
   Format: MarkdownItex[link to article](https://ncatlab.org/nlab/show/%28bo%2C+ff%29+factorization+system)

   link to article

3. • CommentRowNumber3.
   • CommentAuthorTodd_Trimble
   • CommentTimeJul 13th 2017
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   Author: Todd_Trimble
   Format: MarkdownItexYeah, weird. I changed it.

   Yeah, weird. I changed it.